Решите уравнение (X-2)/(x+1) + (4(x+1))/(x-2) =5

Question

Решите уравнение
(X-2)/(x+1) + (4(x+1))/(x-2) =5

Answer 1

Общий знаменатель будет (x+1)(x-2)

((x-2)(x-2) +4(x+1)(x+1)) /(x+1)(x-2) =5

x² -4x +4 +4(x²+2x +1) =5(x+1)(x-2)

x² -4x+4+4x²+8x +4 =5(x² -2x +x -2)

5x² +4x +8 =5(x² -x -2)

5x² +4x +8 =5x² -5x -10

5x² +4x -5x² +5x = -10 -8

9x = -18

x = -18/9

x = -2